LAMÉ'S EQUATION

Autor:	F.M. Arscott
Rok vydání:	1964
Předmět:	Pure mathematics Polynomial Basis (linear algebra) Mathematical analysis Modern literature Riemann–Stieltjes integral Ellipsoid symbols.namesake Nonlinear Sciences::Exactly Solvable and Integrable Systems Jacobian matrix and determinant symbols Trigonometry Algebraic number Mathematics
DOI:	10.1016/b978-0-08-009984-2.50013-4
Popis:	There are five different forms used for the Lame's equation itself, the Jacobian, the Weierstrassian, two algebraic forms and one trigonometric. Modern literature uses the Jacobian form as a basis. Lame's equation has one even and one odd solution. This chapter discusses Stieltjes' theorem on the zeros of Lame polynomials. It focuses on the eight types of Lame polynomial. Products of two (identical) Lame polynomials are very important; they are sometimes known as ellipsoidal harmonics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ac174269cf58ff42ab60383e18a1c0ae https://doi.org/10.1016/b978-0-08-009984-2.50013-4 Zobrazit plný text záznamu